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Answer: B) inverse of the original

P and Q are any two logical statements

Writing "If P, then Q" can be written as [tex]P \to Q[/tex] to show a flow in the logic (P goes to Q)

The converse swaps P and Q to get [tex]Q \to P[/tex], so it translates to "If Q, then P"

The contrapositive is logically equivalent to the original conditional. We can form a truth table to verify this.

A truth table can also be used to show that the converse and inverse are equivalent expressions. So [tex]Q \to P[/tex] (converse) is the same as [tex]\textasciitilde P \to \textasciitilde \ Q[/tex] (inverse). The squiggly tilde signs mean "not". So [tex]\textasciitilde P[/tex] means "not P".

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A conditional statement is logically equivalent to its contrapositive. Converse: Suppose a conditional statement of the form "If p then q" is given. The converse is "If q then p." Symbolically, the converse of p q is q p.

That means that the answer is B: Inverse of the original
Hope this helped.

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